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New method and new results on the order of spectral radius

✍ Scribed by Muhuo Liu; Bolian Liu


Book ID
113512210
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
314 KB
Volume
63
Category
Article
ISSN
0898-1221

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Some new bounds on the spectral radius o
✍ Qingbing Liu; Guoliang Chen; Linlin Zhao πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 180 KB

A new lower bound on the smallest eigenvalue Ο„ (A B) for the Fan product of two nonsingular M-matrices A and B is given. Meanwhile, we also obtain a new upper bound on the spectral radius ρ(A β€’ B) for nonnegative matrices A and B. These bounds improve some results of Huang (2008) [R. Huang, Some ine